A305038 Number of n X 6 0..1 arrays with every element unequal to 0, 1, 2, 6 or 7 king-move adjacent elements, with upper left element zero.

32, 13, 23, 61, 109, 362, 1359, 3503, 9721, 31745, 92958, 264320, 801379, 2396646, 6995135, 20759698, 61886282, 182695112, 540411495, 1604584471, 4752248516, 14064522112, 41687159362, 123524127876, 365802987085, 1083702812242

Offset

1,1

Comments

Column 6 of A305040.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = a(n-1) +a(n-2) +14*a(n-3) +6*a(n-4) -4*a(n-5) -29*a(n-6) -16*a(n-7) +2*a(n-8) +a(n-9) +5*a(n-10) +3*a(n-11) +a(n-12) +3*a(n-13) for n > 19.

Example

Some solutions for n=5
..0..1..1..1..1..1. .0..0..0..0..0..0. .0..0..0..0..0..1. .0..0..0..0..0..0
..1..0..1..1..1..1. .0..0..0..1..0..0. .0..0..0..0..1..0. .0..0..0..0..0..0
..1..1..0..1..1..1. .0..0..1..0..0..0. .0..0..0..1..0..0. .0..0..0..1..0..0
..1..1..1..0..1..1. .0..0..0..0..0..0. .0..0..0..0..0..0. .0..0..0..0..1..0
..1..1..1..1..1..1. .0..0..0..0..0..0. .0..0..0..0..0..0. .0..0..0..0..0..1

Crossrefs

Cf. A305040.

Sequence in context: A079809 A070629 A304228 * A305584 A316691 A275470

Adjacent sequences: A305035 A305036 A305037 * A305039 A305040 A305041

Keyword

nonn

Author

R. H. Hardin, May 24 2018

Status

approved